Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 180, 568, 70, 356 i.e. 2 largest integer that divides all the numbers equally.
GCD of 180, 568, 70, 356 is 2
GCD(180, 568, 70, 356) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 180, 568, 70, 356 is 2
GCD(180, 568, 70, 356) = 2
Given Input numbers are 180, 568, 70, 356
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 568
List of positive integer divisors of 568 that divides 568 without a remainder.
1, 2, 4, 8, 71, 142, 284, 568
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Greatest Common Divisior
We found the divisors of 180, 568, 70, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 180, 568, 70, 356 is 2.
Therefore, GCD of numbers 180, 568, 70, 356 is 2
Given Input Data is 180, 568, 70, 356
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
Prime Factorization of 568 is 2 x 2 x 2 x 71
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 356 is 2 x 2 x 89
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(180, 568) = 25560
GCD(180, 568) = ( 180 x 568 ) / 25560
GCD(180, 568) = 102240 / 25560
GCD(180, 568) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 70) = 140
GCD(4, 70) = ( 4 x 70 ) / 140
GCD(4, 70) = 280 / 140
GCD(4, 70) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 356
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 356) = 356
GCD(2, 356) = ( 2 x 356 ) / 356
GCD(2, 356) = 712 / 356
GCD(2, 356) = 2
GCD of 180, 568, 70, 356 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 180, 568, 70, 356?
GCD of 180, 568, 70, 356 is 2
2. Where do I get the detailed procedure to find GCD of 180, 568, 70, 356?
You can find a detailed procedure to find GCD of 180, 568, 70, 356 on our page.
3. How to find GCD of 180, 568, 70, 356 on a calculator?
You can find the GCD of 180, 568, 70, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.